AI generatedGeometry and measuresKS3 / GCSE

Properties of a rectangle

Properties of a rectangle.

  • Use the stated properties and diagram markings, rather than judging by appearance.
  • Matching ticks mean equal lengths; matching arrows mean parallel lines.
  • A small square marks a right angle. Keep labels horizontal and include units.

Example 1

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
CD = 6 cm and DA = 3 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Example 2

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
RS = 7 cm and SP = 4 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Your turn

Question 1

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
CD = 8 cm and DA = 5 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Question 2

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
RS = 9 cm and SP = 6 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Question 3

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
CD = 10 cm and DA = 7 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Question 4

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
RS = 11 cm and SP = 8 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

Question 5

The diagram is a rectangle. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
CD = 12 cm and DA = 9 cm. Every angle is 90°.

Opposite sides are equal and parallel; four right angles.

← All Geometry and measures cardsReport a mistake